A food shop buys organic oats in bags of mean weight 1000 grams. It is known that the weights of the bags in any batch are normally distributed with standard deviation 150 grams. A bag of oats is randomly selected, calculate the following probabilities, rounding your final answers to 4 decimal places. (a) The bag is exactly 750 grams (b) The bag is less than 1225 grams (c) The bag is more than 700 grams

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
icon
Related questions
Question
A food shop buys organic oats in bags of mean weight 1000 grams. It is
known that the weights of the bags in any batch are normally distributed
with standard deviation 150 grams. A bag of oats is randomly selected,
calculate the following probabilities, rounding your final answers to 4
decimal places.
(a) The bag is exactly 750 grams
(b) The bag is less than 1225 grams
(c) The bag is more than 700 grams
(d) The bag is either less than 700 grams or more than 1225 grams
(e) The bag is between 700 and 1225 grams.
(f) Bags in the top 5% contains too much oats and must be repackaged.
That is the smallest weight a bag could have and still needs to be
repackaged?
grams
Transcribed Image Text:A food shop buys organic oats in bags of mean weight 1000 grams. It is known that the weights of the bags in any batch are normally distributed with standard deviation 150 grams. A bag of oats is randomly selected, calculate the following probabilities, rounding your final answers to 4 decimal places. (a) The bag is exactly 750 grams (b) The bag is less than 1225 grams (c) The bag is more than 700 grams (d) The bag is either less than 700 grams or more than 1225 grams (e) The bag is between 700 and 1225 grams. (f) Bags in the top 5% contains too much oats and must be repackaged. That is the smallest weight a bag could have and still needs to be repackaged? grams
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill